# Divergence theorem. Help needed, PLS

1. Nov 10, 2008

### lazyluke

1. The problem statement, all variables and given/known data
2. Verify the divergence theorem for the vector field:
F =(r2cosθ) r +(r2cosφ) θ −(r2cosθsinφ) φ
using the upper hemisphere of radius R.

2. Relevant equations

Anyone know what are the scale factors for spherical coordinate system, i cannot find them anywhere, i think the product of all of them is r^2sine(e) but im not sure which ones are which (h1=h2=r, h3=sin(e)????pls help
3. The attempt at a solution
http://img522.imageshack.us/my.php?image=pictureop2.jpg
http://img204.imageshack.us/my.php?image=picture001yz9.jpg

Last edited: Nov 10, 2008
2. Nov 10, 2008

### johnster08

h1 = 1, h2 = r, h3 = rsin(θ)

3. Nov 10, 2008

### lazyluke

Thank you, how do you derive that do u know?.... is there a general formula for all coordinate systems to egt the scalar factors?... i dont need it for this part but the other question....and is my solution any close to be correct? (link to the file at the bottom of the post)

4. Nov 10, 2008

### johnster08

Last edited by a moderator: Apr 23, 2017
5. Nov 10, 2008

### lazyluke

6. Nov 10, 2008

### lazyluke

Thanks to johnster08 as only he answered to my 1 out of 3posts....thnx guys, i dont think ill be here too aften...cya